Using "Game Theory" in a common limit hand

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- The times BB improves his hand cancel with the times I improve my A-high hands; i.e. we can assume that neither BB nor I will improve our hands by the river


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Not sure I agree with this. Villain has 5 outs to improve to 2 pair / trips and you have 6 outs to improve to a higher pair. This may be balanced against the times when he has you dominated, but I dunno.

That said, the rest of your calculations look spot on.